SocialTwist Tell-a-Friend


Question: Francis started a business in the year 1991. He got $13000 profit in the first year. Each year his profit decreased by 5%. Write an exponential decay model to represent his decreasing annual profit in the business.


A ) y = 13001(1.05)t
B ) y = 12999(0.95)t
C ) y = 13000(0.85)t
D ) y = 13000(0.95)t

Steps to derive

1 Let y be Francis's profit in his business.

2 The number of years that the profit decreased is t.

3 His initial profit C is $13000.

4 The decay rate r is 5% or 0.05

5 The exponential decay can be modeled by the equation y = C(1 - r)t.

 [Substitute the values $13000 and 0.05 for C and r.]
6 y = 13000(1 - 0.05)t

 [Simplify.]
7 y = 13000(0.95)t

8 The exponential decay model of Francis's decreasing annual profit in the business is y = 13000(0.95)t.



Hence the right answer is Option D

Click Here To Go Back


Few Other Questions -

  • At a fast food restaurant, 75% of the customers order a burger, 68% of the customers orde..
  • Determine if the set of natural numbers and the operation of multiplication form a field...
  • Determine whether the following is true. If z, c, b are real numbers, and if z = c then z..
  • Find the property illustrated by the relation: | 4.7s | + | 10p | = | 10p | + | 4.7s |..
  • Find the property illustrated by the relation: 14.9(nk) = (14.9n)k...
  • Name the property illustrated by: (9x)(19x) = 1..
  • Name the property illustrated. 0 + π = π...
  • Name the property illustrated. (2p + 8)(9 + 9p) =(2p + 8).(9) + (2p + 8).(9p)..
  • Which property does (- 7) + [- (- 7)] = 0 illustrate?..
  • Determine whether the following statement is true. If e.c = j.c and c is non-zero, then e..
  • Which of the following properties do not hold for the set of whole numbers?..
  • Which one of the statements satisfies transitive property?..
  • Determine whether the following statement is true. If x = b - a then x + a = b; a, b are..
  • Determine whether the following statement is true. If q, k, x are real numbers, then q (k ..
  • Determine which one of the sets does not satisfy closure property of addition...
  • Find the sum in clock arithmetic: 12 + 9 (on a 12-hour clock.)..
  • Find the sum in clock arithmetic: 4 + 3 (on a 12-hour clock.)..
  • What number (on a 12-hour clock) in clock arithmetic serves as the additive identity?..
  • Find the x and y-intercepts of the line 4x - 7y = 14 graphically...
  • Find the x and y-intercepts of the line x40 + y50 = 1 graphically...
  • Draw the graph of the inequality x ≤ 5...
  • Draw the graph of the inequality y > 5...
  • Draw the graph of x + y ≤ 4. State the boundary of the region...
  • Draw the graph of 5x + 3y ≤ 15. State the boundary of the region...
  • Find the inverse of the function {(5, 8), (6, 2), (7, 8)}...
  • Find the inverse of the function {(- 6, - 4), (- 8, - 4), (- 10, - 3)}...
  • Find the inverse of the function y = 4x + 8...
  • Find the inverse of the function y = 4x - 74...
  • Find the inverse of the function y = - 611x + 3...
  • Find the domain and range of inverse of the function {(4, 2), (5, 2), (6, 3), (7, 5)}...
  • Find the domain of f - 1, where y = f(x) = 8x - 5, x ≠ 5...
  • Find the range of f - 1, where y = f (x) = 6x...
  • Find the range of inverse of the function {(s, - 8), (k, - 9), (y, - 4), (z, - 3)}...
  • Find the domain and range of inverse of the function {(5, 5), (7, 5), (8, 7), (10, 10)}...
  • Find the domain and range of inverse of the function {(y, s), (m, q), (p, k), (t, k)}...
  • Find the domain and range of f -1, if y = 67x - 6...
  • Find the domain and range of f -1 , if f (x) = 8x...
  • Write the inverse of the function {(1, 4), (2, 6), (3, 8), (4, 10)} and determine whether ..
  • Write the inverse of the function {(a, 5), (b, 6), (c, 5), (d, 6)} and determine whether t..
  • Write the inverse of the function f (x) = {(x, y): y = 5x - 1, x is a positive integer les..
  • Write the inverse of the function f(x) = {(x, y): y = - 2x + 3, x is a negative integer gr..
  • Find the inverse of the function, y = 4x - 7, x = 9, 10, 11...
  • Find the inverse of the function, y = - x - 16, x = - 9, - 10, - 11...
  • Sketch the graph of f, f -1and y = x, if f(x) = - 3x...
  • Sketch the graph of f, f -1 and y = x if f(x) = x3...
  • The formula for the volume of a cube is x = t3. Find the inverse of this function...
  • The formula for the perimeter of a square is y = 4x. Write the inverse of the function an..
  • Find the domain and range of f -1, where f (x) = {(x, y): - 511 x + 3, x is a negative in..
  • Find the domain and range of f -1, where f (x) = {(x, y): 14x - 2, x is a positive integer..
  • Divide: (12z5 - 16z4 - 12z3) ÷ (4z2)..
  • Divide: 12c5d4-9c4d6+24c3d123c3d4..
  • Divide: 5a5-5a4+4a3-36a..
  • Divide: - 42x8+36x6+9x3-27- 3x3..
  • Divide: 10x5y4z + 16x4y6 - 2wx3y12- 2x3y4..
  • Divide: (x2 - 9x - 18) ÷ (x + 1)..
  • Divide: (x2 - 6x - 16) ÷ (x + 2)..
  • Divide: (9x2 - 6x - 3) ÷ (x - 2)..
  • Divide: (28x - 20x2 - 8 + 24x3) ÷ (3x - 1)..
  • Divide: (x2 - 18) ÷ (x - 2)..
  • Divide: (4x2 + 9) ÷ (2x - 3)..
  • Divide: (x4 - 2x3 - 10x2 + 18x - 6) ÷ (x2 - x - 6)..
  • The volume of a rectangular box is given by (3x3 - 5x2 - 4x + 4) cm3. The length and width..
  • Divide: 2x4 + 4x3 - 4x2 + 8x - 7x2 + 4..
  • Divide: 4n3+2n2+62n + 4..
  • Divide: 6x3-3x2-63x-2..
  • Divide: 2x3-22x - 2..
  • Evaluate: (216x3 + 27) ÷ (6x + 3)..
  • Evaluate: (2x4 - 2) ÷ (x - 1)..
  • Divide: x3a-2x2a+4xa-16xa-4..
  • Divide: r3a-2r2a+9ra-7ra-1ra..
  • Divide: x4-4x3-4x2-8x+5x2+1+4x..
  • Divide: 4x2 - 5x - 1..
  • Divide: x4a - 2x2a - 2xa + 4x2a + 2xa - ..
  • For which of the following graphs slope of the line is - 2?..
  • What is the slope of the line that passes through the points (6, 8) and (7, 9)?..
  • What is the slope of the line that passes through the points (8, - 5) and (12, - 10)?..
  • What is the point-slope form of the equation of the line which passes through the points (..
  • Find the slope and y-intercept of the equation. y = - 89x..
  • Find the slope and y-intercept of the equation.  y = 67x + 8..
  • Find the slope of the line in the graph...
  • Find the slope of the line AB‾ shown in the graph...
  • Find the slope of the line PQ‾ shown in the graph...
  • Find the slope and y-intercept of the equation. y = - 5x + 4..
  • Find the slope and y-intercept of the equation y = 9...
  • What is the equation of a line whose slope is - 6 and y-intercept is 715?..
  • Find the slope of the line that passes through the points (- 3, 9) and (11, 13)...
  • The slope of the line in the graph is ____...
  • The slope of the line in the graph is _____...
  • The slope of the line in the graph is ______...
  • The slope of the line in the graph is ______...
  • Find the equation of a line whose slope is 7 and y-intercept is 7...
  • What is the equation of a line whose slope is 67 and y-intercept is 7?..
  • What is the equation of a line whose slope is 910 and y-intercept is 1112?..
  • What is the slope of the line in the graph?..
  • What is the slope of the line in the graph?..
  • What is the slope of the line in the graph?..
  • Find the product of 2y and (3y2 - 3)...
  • Find the product of (4y2 + 3y) and (6y2 - 3y)...
  • Find the product of - 6y and (y3 - 3y2 - y - 7)...
  • Find the product of k + k2 + 7 and k2 + 6...
  • Get unlimited online Math tutoring, Algebra tutoring, Trigonometry Help and Tutoring in English, Physics, Chemistry, Biology, Geometry and all other subjects at $99.99 per month!